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Measurements and Calculations Worksheet #1

Mixed Metric and American Conversions: Show ALL work using dimensional analysis.

1. 4.305 liters to microliters

2. 3.80 km to meters

3. 3.88 miles to meters

4. 2.994 ounces to milligrams

5. 926 tons to Megagrams

6. How many centimeters are there in 7.88 x 102 feet?

7. Convert 6.775 yards to picometers.

8. Convert 5.47 x 10-2 hectograms to ounces

9. How many centimeters are there in 51.004 miles?

Density: Show ALL work using dimensional analysis.

14. If an unknown solid weighs 84.0 grams and occupies 30.0 cm3 of space, what is its density?

15. What is the mass, in grams, of a liquid having a density of 1.50 g/ml and a volume of 3.5 liters?

16. What volume, in cm3, would a 200. gram sample of gold have if its density is known to be 20.5 g/cm3?

17. A solid block of substance is 74.0 cm by 55.0 cm by 29.0 cm and it weighs 625 kg. Assuming that it did not chemically react with water nor dissolve in it, would it float in water? The density of water is 1 g/mL. Show your work.

18. A gas has a volume of 7.0 liters and a mass of 4.44 X 105 micrograms. What is its density in g/L?

19. A certain liquid has a density of 0.855 g/mL. How many LITERS would have a mass of 1.00 kg?

Measurements and Calculations Worksheet #2

Dimensional Analysis (Exercising Problem Solving Skills): Show ALL work, using dimensional analysis, Report answers using the correct number of significant figures.

1. The record long jump is 349.5 inches. Convert this to meters.

2. A car traveling 55.0 miles per hour. Convert this to meters per second.

3. How many milligrams are there in a 5.00 grain aspirin tablet?

4. What is the volume, in mL, of 100. grams of mercury? Mercury has a density of 13.54 g/mL (which means 1mL=13.54 g).

5. In 1980, the US produces 18.4 billion pounds (1.84 X 1010 lbs) of phosphoric acid to be used in the manufacture of fertilizer. The average cost of the acid is $318/ton. What was the total value of the phosphoric acid produced?

6. On planet Zizzag, city Astric is 35.0 digs from city Betrek. The latest in teenage transportation is a Zeka which can travel a maximum of 115 millidigs/zip. On Zizzag their time system divides each dyne into 25.0 zips. How many dyne will it take Pezzi to get from Astric to Betrek to see his girlfriend?

7. While prospecting in the North Woods, Joe found a gold nugget which had a density of 19.2 g/cm3. Joe dropped the gold into water in a graduated cylinder, the water level increased by 15.0 mL. How many grams of gold did he have?

8. Light travels at a speed of 3.00 X 1010 cm/sec. What is the speed of light in km/hr?

9. A cheetah has been clocked at 112 km/hr over a 100. meter distance. What is this speed in m/sec?

10. After removing 68.1 kilograms of old copper tubing from air conditioning units Mark takes his load to a recycling yard. There he is paid $2.50 per pound. How much money did he make?

b. If 1 mole copper = 63.45 grams and 6.02X1023 atoms = 1 mole, how many atoms of copper did Mark recycle?

Matter, Measurements and Calculations Test Review

Read over notes. Look over everything on the foldable review. Answer the following questions and report answers using the correct number of significant figures.

Solve the following problems:

1. Which of the following is the shortest length? 0.35 X 10-4 m, 12.9 nm, 0.00442 mm, 1.435 μm, 1.88 X 10-8 km

2. How many significant figures are in each of the following?

a. 1.03338000 b. 0.00003300 c. 133,555,800 d. 5.000001

3. Perform the following calculations:

a. 58.5g + 34g = b. 3358g ÷ 7mL = c. 85.889g ÷ 28cm3 =

4. Solve the following:

a. The density of a solid is 2.88 g/cm3. The dimensions are 3.2 cm by 18.0 mm by 0.03 m. What is the mass of the solid?

b. An irregularly-shaped solid is placed into a graduated cylinder filled with 25.8 mL of water and the level of the water rises to 33.9 mL. The mass is 5.88 g. What is the density of this solid?

c. The melting point of an unknown substance is 46˚ C. What is the temperature in K?

d. A 35-mL sample of a liquid has a mass of 42.40 g. (a) If placed in water will it sink or float? (b) What is the density of this liquid in ounces/gallon?

5. Convert the following using dimensional analysis:

a. A car is moving at a speed of 35 in/sec. Convert this to meters/day.

b. In Crazy Town the currency is rather strange 1 furg = 3 botz, 5 botz = 0.15 kerds, and 4. 04 X 10-3 kerds = 1hutz. Looney Lucy has 25 furgs, what is this equivalent to in hutz?

c. The length of a paramecium is 4.9 x 106 μg. What is the length in mg?

d. Dick ran 3444 nm convert this to miles. Jane ran 1.5 miles. Who ran the greatest distance?

e. If 1ft = 12in then 1ft3 = 1728in3. If 1in = 2.54cm then 1in3 = ___________cm3.

Using these values convert 1000. mL to ft3. (Don’t forget 1cm3 = 1mL)

f. A snail crawls at 15 dm/ min. (a) How long will it take him to travel 2.0 kilometers? (b) What is his rate of travel in miles/hour?

g. Tiger Woods is standing at the tee box for a 156 yard (par 3) hole. While trying to decide which club to use for his tee shot he wonders how far 156 yards is in centimeters. Can you calculate this for him?

7. Determine if the following is an element, compound, solution, or heterogeneous mixture.

a. gold (Au) d. sodium acetate (NaC2H3O2)

b. Hydrochloric Acid (HCl & H2O) e. oil and water

c. milk (C6H12O6 & H2O & C50H102O3…)

8. Define extensive and intensive properties and give examples of each.

Look over Classification of Matter Activity and Extensive and Intensive Properties Activity.

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Worksheet #1, #2, and Test Review conversion factors that might be helpful:

1 mile = 5280 feet

1 inch = 2.54 cm

1 gram = 0.0353 ounces

2000 pounds = 1 ton

1 pound = 454 grams

1 yard = 3 feet

1 km = 0.621 miles

1 yard = 0.914 m

1 ton = 907.2 kg

1 ft = 12 in

1 gallon = 3.785 L

1 m = 39.37 inch

1 m3 = 35.31 ft3

1 grain = 0.00229 ounces

1 grain = 0.0648 grams

Look to notes for all metric conversions.

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